We look at the division of 511690 by 77 
Our goal is to divide 511690 by 77.

Going ahead to step 1:
When dividing 5 by 77, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 77

Moving on to step 2:
77 goes into 51 0 times with a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Grab the next digit (1) from the dividend, add it to 51, then carry on: 511 / 77

Moving on to step 3:
511 divided by 77 is 6 with a remainder of 49.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 462 from 511 to get 49.
Fetch the next digit (6) from the dividend, attach it to 49 and continue: 496 / 77

On to step 4:
77 can be fit into 496 6 times, resulting in a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 66.0
Deduct 462 from 496 and we're left with 34.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 77

Advancing to step 5:
If we divide 349 by 77, we get 4 and a remainder of 41.
The next digit of our result is 4. 
Result so far: 664.0
If we take 308 away from 349, we end up with 41.
Append the next digit (0) from the dividend to 41 and continue with: 410 / 77

Going ahead to step 6:
410 divided by 77 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6645.0
Subtracting 385 from 410 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
The number 77 fits into 250 3 times, leaving a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 6645.3
If we take 231 away from 250, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
When dividing 190 by 77, we get 2 with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 6645.32
Deduct 154 from 190 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
77 can be fit into 360 4 times, resulting in a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 6645.324
Deduct 308 from 360 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 10:
When dividing 520 by 77, we get 6 with a remainder of 58.
Write down 6 as next digit of the result. 
Result so far: 6645.3246
Deduct 462 from 520 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 11:
The number 77 fits into 580 7 times, leaving a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 6645.32467
If we take 539 away from 580, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 12:
410 divided by 77 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6645.324675
Subtracting 385 from 410 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 13:
When dividing 250 by 77, we get 3 with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 6645.3246753
If we subtract 231 from 250, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 14:
77 goes into 190 2 times with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 6645.32467532
If we take 154 away from 190, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 6645.32467532 with a remaining 3.6e-08.